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The statement that describes a key feature of g if g(x) = f(x + 4) and f(x) = 10ˣ is "horizontal asymptote of y = 0". (Correct choice: B)

How to analyze a function resulting from a transformation rule

According to the statement, we have an original function f(x) = 10ˣ and a transformation rule for horizontal translation g(x) = f(x + 4). By applying this rule, we have that g(x) = 10ˣ ⁺ ⁴, which have these features:

  1. The y-intercept of g(x) is located at (0, 10000).
  2. Horizontal asymptote of g(x) is y = 0.
  3. There are no x-intercepts.

Therefore, the statement that describes a key feature of g if g(x) = f(x + 4) and f(x) = 10ˣ is "horizontal asymptote of y = 0". (Correct choice: B)

To learn more on transformation rules: https://brainly.com/question/9201867

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